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Geogami Outline
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The outline map for geogami (click on
each section
to see the detailed descriptions and prompts)
back to Geogami Home
Introduction to Origami
Projects
Watch and reflect on
Between the Folds
Find and fold a variety of origami patterns (
http://www.youtube.com/user/tomhull17
)
Research Sadako Sasaki and the legend of 1,000 paper cranes
Watch and reflect on
Robert Lang's TED
talk on origami
S
tandards
Apply Geometric concepts in modeling situations
Palm Reading
Projects
Analyze crease patterns and develop and test 3-5 rules for "palm reading" origami
Standards
Understand congruence in terms of rigid motions
Folding Polygons
and Polyhedra**
Projects
Create origami polyhedra and polygons
and categorize by characteristics
Standards
Explain volume formulas and use them to solve problems
Visualize relationships between 2- and 3-dimensional objects
Tesselations
(under construction- coming soon)
Projects
Explore tessellation
Standards
Experiment with transformations in the plane
Constructions and Proofs
**
Projects
Explore geometric proofs using origami folding
Dissect straightedge/compass constructions and compare these to origami constructions
Explain why some "impossible constructions" aren't really impossible
Standards
Prove Geometric Theorems
Make Geometric Constructions
Use coordinates to prove simple geometric theorems algebraically
Trigonometry
**
Projects
Execute and explain trigonometric proofs using origami
Standards
Understand similarity in terms of similarity transformations
Prove theorems involving similarity
Define trigonometric ratios and solve problems involving right triangles
Apply trigonometry to general triangles
Circles and Conic Sections
(under construction- coming soon)
Projects
Read "
Circular Origami
" by Eva Knoll
Explore origami patterns using circular paper, identifying
Analyze crease patterns and identify circle quantities and properties
Standards
Understand and apply theorems about circles
Find arc length and areas of sectors of circles
Translate between the geometric description and the equation for a conic section
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